The word and in probability implies that we use the _ rule
multiplication
A_ is an arrangement of r objects chosen from n distant objects
combination
_ is an ordered arrangement of r objects chosen from n distinct objects
permutation
in probability _ is any process that can be repeated in which the results are uncertain
experiment
E: a person going into debt .
F: The same person having a credit card
E and F are dependent because having a credit card can affect the probability of a person going into debt
E: a randomly selected person having a high GPA
F: another randomly selected person having a low GPA
E cannot effect F and vice versa because the people were randomly selected, so they are independant
E: the rapid spread of cocoa plant disease
F: the price of chocolate
the rapid spread of cocoa plant disease could affect the price of chocolates , so E AND F are dependant
suppose that P ( E and F ) are independent P(E)= 0.3, and P(F)=0.9 what is the P (E and F)
(0.3)(0.9)=0.27
If E and F are not disjoint events, then P(E or F) =
P(E) +P(F)-P(E and F)
The probability that a randomly selected individual in a country earns more than $74,000 per year is 7.5% the probability that a randomly selected individual in the country earns more than $75,000 per year , given that the individual has earned Bachelors
the answer is YES
(if one percentage was different answer would be no)
in a combination problem, order is not important?
true or false?
TRUE
what is the probability of an event that is impossible? suppose that a probability is approximated to be zero based on empirical results; does this mean that the event is impossible? what is the probability of an event of an event that is IMPOSSIBLE?
0
suppose that a probability is approximated to be zero based on empirical results does this mean that the event is impossible?
NO
the word or in probability implies that we use _ rule
Addition
a man has 3 shirts and 7 ties, assuming that they all match, how many different shirt-and-tie combinations can we have?
(7)(3)=21
when two events are disjoint, they are also independent
FALSE
two events E and F are _ if the occurrence of events E in probability experiment does not affect the probability of the event F
independent
A sales person must travel to eleven cities to promote a new marketing campaign. How many different trips are possible if any route between cities is possible
11!
The notion P(F|E) means that the probability of the event _ given event _
F, E
in a probability model, the sum of the probabilities of all outcomes must equal zero
False
if E and F are disjoint events, then P(E or F )
P(E)+P(F)
E{ 11,12,13,14,15,16
G{ 15,16,17,18
choose the correct of outcomes
{15,16}
Determine whether the following probability experiment represent a binomial experiment and explain the reason for your answer
An experiment drug is administered to 190 randomly selected individuals, with the number of individuals responding favorably reco
Yes, because the experiment satisfies all the criteria for binomial experiment
A binomial experiment is performed a fixed number of times, what is each repetition of the experiment called
each repetition of the experiment is called a trial
determine the following probability experiment reprents a binomial experiment,
a random sample of 15 middle school students is obtained, and the individuals selected are asked to state their hair length
no, this probability experiment does not represent a binomial experiment because the variable is continuous, and there are not two mutually exclusive outcomes
in the binomial probability distribution function , nCx represents the number of ways of obtaining x success in n trials
true
what is the formula for the expected number of success in a binomial experiment with n trials and probability of success p
np
what are the two requirements for a discrete probability distribution ?
0_< p (x) <_1
E p(x)=1
Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer
An investor randomly purchases 5 stocks listed on a stock exchange.Historically, the probability that a stock listed on the exch
yes, because the experiment satisfies all the criteria for a binomial experiment